Parreira fears Dida is still paying for his theatrics at Celtic a fortnight ago and said: "I know Nelson well, I began with him at Corinthians and I brought him into the national team.
"He is a cold and calculating man, the reverse prototype of the Brazilian.
"He was wrong in Glasgow, it is true, but I see too much skepticism around him now, so I think he would be happier if he left Milan."